%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO248+1 : TPTP v9.2.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:48:22 PM UTC 2025 % Result : Theorem 3.52s 3.75s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : GEO248+1 : TPTP v9.2.0. Bugfixed v6.4.0. % 0.07/0.13 % Command : duper %s % 0.12/0.34 % Computer : n007.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 12:36:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.52/3.75 SZS status Theorem for theBenchmark.p % 3.52/3.75 SZS output start Proof for theBenchmark.p % 3.52/3.75 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 3.52/3.75 Clause #31 (by assumption #[]): Eq % 3.52/3.75 (Not % 3.52/3.75 (∀ (A B L : Iota), % 3.52/3.75 And (left_apart_point A L) (left_apart_point B (parallel_through_point L A)) → left_apart_point B L)) % 3.52/3.75 True % 3.52/3.75 Clause #63 (by clausification #[31]): Eq % 3.52/3.75 (∀ (A B L : Iota), % 3.52/3.75 And (left_apart_point A L) (left_apart_point B (parallel_through_point L A)) → left_apart_point B L) % 3.52/3.75 False % 3.52/3.75 Clause #64 (by clausification #[63]): ∀ (a : Iota), % 3.52/3.75 Eq % 3.52/3.75 (Not % 3.52/3.75 (∀ (B L : Iota), % 3.52/3.75 And (left_apart_point (skS.0 0 a) L) (left_apart_point B (parallel_through_point L (skS.0 0 a))) → % 3.52/3.75 left_apart_point B L)) % 3.52/3.75 True % 3.52/3.75 Clause #65 (by clausification #[64]): ∀ (a : Iota), % 3.52/3.75 Eq % 3.52/3.75 (∀ (B L : Iota), % 3.52/3.75 And (left_apart_point (skS.0 0 a) L) (left_apart_point B (parallel_through_point L (skS.0 0 a))) → % 3.52/3.75 left_apart_point B L) % 3.52/3.75 False % 3.52/3.75 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), % 3.52/3.75 Eq % 3.52/3.75 (Not % 3.52/3.75 (∀ (L : Iota), % 3.52/3.75 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a))) → % 3.52/3.75 left_apart_point (skS.0 1 a a_1) L)) % 3.52/3.75 True % 3.52/3.75 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), % 3.52/3.75 Eq % 3.52/3.75 (∀ (L : Iota), % 3.52/3.75 And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a))) → % 3.52/3.75 left_apart_point (skS.0 1 a a_1) L) % 3.52/3.75 False % 3.52/3.75 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota), % 3.52/3.75 Eq % 3.52/3.75 (Not % 3.52/3.75 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 3.52/3.75 (left_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) → % 3.52/3.75 left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 3.52/3.75 True % 3.52/3.75 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), % 3.52/3.75 Eq % 3.52/3.75 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 3.52/3.75 (left_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) → % 3.52/3.75 left_apart_point (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 3.52/3.75 False % 3.52/3.75 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), % 3.52/3.75 Eq % 3.52/3.75 (And (left_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) % 3.52/3.75 (left_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) % 3.52/3.75 True % 3.52/3.75 Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), % 3.52/3.75 Eq (left_apart_point (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a))) True % 3.52/3.75 Clause #102 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 3.52/3.75 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 3.52/3.75 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 3.52/3.75 Clause #106 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 3.52/3.75 Clause #109 (by superposition #[106, 72]): Eq False True % 3.52/3.75 Clause #110 (by clausification #[109]): False % 3.52/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------